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536985904 = 247213194759
BaseRepresentation
bin100000000000011…
…100000100110000
31101102102201011211
4200000130010300
52044432022104
6125141245504
716210206400
oct4000340460
91342381154
10536985904
11256129504
1212ba03894
1387334a50
1451462800
1532221e04
hex2001c130

536985904 has 240 divisors, whose sum is σ = 1424908800. Its totient is φ = 193632768.

The previous prime is 536985901. The next prime is 536985907. The reversal of 536985904 is 409589635.

It is an interprime number because it is at equal distance from previous prime (536985901) and next prime (536985907).

It is a super-2 number, since 2×5369859042 = 576707722189394432, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is not an unprimeable number, because it can be changed into a prime (536985901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9101427 + ... + 9101485.

It is an arithmetic number, because the mean of its divisors is an integer number (5937120).

Almost surely, 2536985904 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 536985904, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (712454400).

536985904 is an abundant number, since it is smaller than the sum of its proper divisors (887922896).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

536985904 is a wasteful number, since it uses less digits than its factorization.

536985904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

The square root of 536985904 is about 23172.9563068677. The cubic root of 536985904 is about 812.8073618668.

It can be divided in two parts, 5369 and 85904, that multiplied together give a square (461218576 = 214762).

The spelling of 536985904 in words is "five hundred thirty-six million, nine hundred eighty-five thousand, nine hundred four".